To graph: The function and label all intercepts, vertical asymptotes, horizontal asymptotes and oblique asymptotes where the function
Explanation of Solution
Given information:
The function,
Graph:
Consider
To find the
By using factor method,
By using zero product rule,
By simplifying,
Therefore, the
To find the
Therefore, the
To find the asymptotes of the rational function
Here the rational function
Firstly, convert the rational function in the lowest term.
The numerator
If
Here,
Here the degree of numerator
The oblique asymptote for the rational function is the quotient of the polynomial division.
To find the oblique asymptote by using the polynomial division,
Here the quotient is
Therefore, the oblique asymptote for the rational function is
The graph of rational function with
Interpretation:
The graph of rational function with
Chapter 4 Solutions
Precalculus Enhanced with Graphing Utilities
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